The numbers are a little different but the method is the same. Just follow this example.
http://www.jiskha.com/display.cgi?id=1347051896
How do I solve this, and what is the correct answer? Thank you.
http://www.jiskha.com/display.cgi?id=1347051896
140 pm = 1.40E-8 cm.
1.40E-8 cm/atom x # atoms = 5.40 cm
Solve for # atoms.
1 x 103 = 1E3 = 1000
1 x 10-3 = 1E-3 = 0.001.
Given:
Diameter of a neutral helium atom = 1.40 x 10^2 pm
First, we need to convert the diameter of a helium atom from picometers (pm) to centimeters (cm).
1 pm is equal to 1 x 10^(-12) cm (1 cm = 10^12 picometers).
Converting the diameter of a helium atom:
1.40 x 10^2 pm * (1 x 10^(-12) cm/1 pm) = 1.40 x 10^(-10) cm
Now, we have the diameter of a helium atom in centimeters. To determine the number of atoms that would be required to cover a distance of 5.80 cm, we divide the length by the diameter of a single atom.
Number of helium atoms = 5.80 cm / (1.40 x 10^(-10) cm)
Calculating the number of helium atoms:
Number of helium atoms = 4.14 x 10^10
Therefore, it would take approximately 4.14 x 10^10 (or 41.4 billion) helium atoms to cover a distance of 5.80 cm.